OneShot Problem 10 || The Straight Lines.

From a given point (h, k) perpendiculars are drawn to the axes, whose inclination is ω, and their feet are joined. Prove that the length of the perpendicular drawn from (h, k) upon this line is
hksin²ω / √(h² + k² +2hkcosω)
and that its equation is hx - ky = h² - k².